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Finding the Fourth Proportional to 310,589.09, 465,893.99 and 85,930.71

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Solution

The fourth proportional to 310,589.09, 465,893.99 and 85,930.71 is: 128,898.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,589.09 : 465,893.99 = 85,930.71 : x
  2. Step 2: Convert to fraction form
    310,589.09/465,893.99 = 85,930.71/x
  3. Step 3: Cross multiply
    310,589.09x = 465,893.99 × 85,930.71
  4. Step 4: Simplify right side
    310,589.09x = 40,034,601,345.43
  5. Step 5: Solve for x
    x = 40,034,601,345.43/310,589.09
  6. Step 6: Final answer
    x = 128,898.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.